关于广义拓扑空间的分离性质的一些探究

Some exploration about the properties of the generalized topological space separation

是在A.Csaszar等人给出广义拓扑的基础上,得到了广义拓扑与强广义拓扑之间的一些联系,并且在强广义拓扑的定义下得到了一般拓扑中所具有的一些遗传性质,并且其中的一些遗传性质还可以进一步削弱到广义拓扑空间中,最后给出一些反例说明一般拓扑在推广为广义拓扑的过程中也会失去一些性质.

Based on A.Csaszar et al.＇s study on generalized topology, this paper gets some relationship between generalized topology and strong generalized topology and some hereditary property under the define of strong generalized topology, which is in general topology and some of which can also further weaken to the generalized topology space. Finally, some counter examples are given to illustrate that the generalized topology in the process of promotion of the general topology will lose some of these properties.